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Simplifying 5(y + 1) = 3(y + 11) Reorder the terms: 5(1 + y) = 3(y + 11) (1 * 5 + y * 5) = 3(y + 11) (5 + 5y) = 3(y + 11) Reorder the terms: 5 + 5y = 3(11 + y) 5 + 5y = (11 * 3 + y * 3) 5 + 5y = (33 + 3y) Solving 5 + 5y = 33 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 5 + 5y + -3y = 33 + 3y + -3y Combine like terms: 5y + -3y = 2y 5 + 2y = 33 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + 2y = 33 + 0 5 + 2y = 33 Add '-5' to each side of the equation. 5 + -5 + 2y = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 33 + -5 2y = 33 + -5 Combine like terms: 33 + -5 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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